The question asked in the Thread title is: -
Does Jesus reign because Satan is bound or does Jesus reign because He is God?
The answer can be found in Daniel 7:10-14: -
Daniel 7:11-14: - 11 "I watched then because of the sound of the pompous words which the horn was speaking; I watched till the beast was slain, and its body destroyed and given to the burning flame. 12 As for the rest of the beasts, they had their dominion taken away, yet their lives were prolonged for a season and a time.
13 "I was watching in the night visions,
And behold, One like the Son of Man,
Coming with the clouds of heaven!
He came to the Ancient of Days,
And they brought Him near before Him.
14 Then to Him was given dominion and glory and a kingdom,
That all peoples, nations, and languages should serve Him.
His dominion is an everlasting dominion,
Which shall not pass away,
And His kingdom the one
Which shall not be destroyed.
NKJV
The answer is that Jesus reigns because He is given dominion and glory and a kingdom straight after the fallen heavenly hosts are judged in Heaven, and they are immediately locked up in the Bottomless pit to await the time of their punishment. Satan is included in the judgement of the heavenly Hosts, Isaiah 24:21-22, and is also immediately locked up in the Bottomless pit for 1,000 years after which the Bottomless pit is unlocked and Satan and the other heavenly hosts and the Kings of the Earth attempt to overcome God before they are punished by being dispatched into the Lake of Fire.
The answer to this question (because He is God) will prove that there are two sets of thousand years one the reigning and one the binding.
Satan isn’t Jesus’ equal or competition just an enemy.
Now nowhere in the quoted scripture above does it indicate that the Son of Man was considered to be God, but He was given dominion over the people of the earth at the beginning of the Seventh Age. We are also told that the Son of Man's dominion is an everlasting dominion which shall not pass away.
It can be dangerous theologically when we attempt to take our concepts to the extreme limits.
The two time periods run conjointly. Satan's and the other heavenly hosts and the kings of the earth are imprisoned for 1,000 years during which time Christ exercises a priestly rule over the earth for 1,000 years. It is during the little while period after the Bottomless pit is unlocked that the entities locked up in the Bottomless pit attempt to replace God and establish Satan as god in His place.
Knowing how the end time events plays out is important. We need to come to the right conclusions that reflect the heart of God for people.
Shalom